Hecke eigenvalues of Siegel modular forms of "different weights"

A Ghitza; R Sayer

Journal article

Hecke eigenvalues of Siegel modular forms of "different weights"

A Ghitza, R Sayer

Journal of Number Theory | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2014

DOI: 10.1016/j.jnt.2014.03.009

Abstract

Given two Siegel eigenforms of different weights, we determine explicit sets of Hecke eigenvalues for the two forms that must be distinct. In degree 2, and under some additional conditions, we determine explicit sets of Fourier coefficients of the two forms that must be distinct. © 2014 Elsevier Inc.

University of Melbourne Researchers

Alex Ghitza Author

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Coset spaces and Hecke algebra actions

This project will develop fundamental models and their mechanics as tools for studying subtle geometry and hidden symmetry in number systems..

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Funding Acknowledgements

We thank G. van der Geer, M. Raum and R. Schulze-Pillot for answering our various questions. The first author was supported by Discovery Grant DP120101942 from the Australian Research Council.